Quantitative estimates of unique continuation for parabolic equations, determination of unknown time-varying boundaries and optimal stability estimates
From MaRDI portal
Publication:5458992
DOI10.1088/0266-5611/24/2/023001zbMath1154.35095arXiv0710.2192OpenAlexW2050687116MaRDI QIDQ5458992
Publication date: 24 April 2008
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0710.2192
Stability in context of PDEs (35B35) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) A priori estimates in context of PDEs (35B45) Initial value problems for second-order parabolic equations (35K15)
Related Items (27)
Quantification of the unique continuation property for the heat equation ⋮ Uniqueness and numerical reconstruction for inverse problems dealing with interval size search ⋮ Moving boundary identification for a two-dimensional inverse heat conduction problem ⋮ Data assimilation for the heat equation using stabilized finite element methods ⋮ On doubling inequalities for elliptic systems ⋮ A parabolic inverse problem with mixed boundary data. Stability estimates for the unknown boundary and impedance ⋮ Identification of time-varying inaccessible thermal conductance from data at the boundary ⋮ Quantitative uniqueness estimates for the generalized non-stationary Stokes system ⋮ Carleman estimates for the structurally damped plate equations with Robin boundary conditions and applications ⋮ Stable reconstruction of the initial condition in parabolic equations from boundary observations ⋮ The MFS for numerical boundary identification in two-dimensional harmonic problems ⋮ A meshless method for solving a two‐dimensional transient inverse geometric problem ⋮ Quantification of the unique continuation property for the nonstationary Stokes problem ⋮ Sharp three sphere inequality for perturbations of a product of two second order elliptic operators and stability for the Cauchy problem for the anisotropic plate equation ⋮ Optimal three spheres inequality at the boundary for the Kirchhoff-Love plate's equation with Dirichlet conditions ⋮ The method of fundamental solutions for a time-dependent two-dimensional Cauchy heat conduction problem ⋮ Optimal Stability in the Identification of a Rigid Inclusion in an Isotropic Kirchhoff--Love Plate ⋮ Approximate Two-Sphere One-Cylinder Inequality in Parabolic Periodic Homogenization ⋮ Quantitative estimates of strong unique continuation for wave equations ⋮ Carleman estimates for the parabolic transmission problem and Hölder propagation of smallness across an interface ⋮ A numerical method for solving the inverse heat conduction problem without initial value ⋮ Strong unique continuation for second-order hyperbolic equations with time-independent coefficients ⋮ Unique continuation property with partial information for two-dimensional anisotropic elasticity systems ⋮ Global stability result for parabolic Cauchy problems ⋮ Reconstruction algorithm for unknown cavities via Feynman-Kac type formula ⋮ Stability Estimates for an Inverse Hyperbolic Initial Boundary Value Problem with Unknown Boundaries ⋮ An inverse problem for a three-dimensional heat equation in thermal imaging and the enclosure method
This page was built for publication: Quantitative estimates of unique continuation for parabolic equations, determination of unknown time-varying boundaries and optimal stability estimates